Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’
In this reply to the comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO _2 chains of ${{\rm{Li}}}_{2}{{\rm{CuO}}}_{2-\delta }$ ’ (2017 New Journal of Physics 19 023206), we have clarified several key questions and conflicting results regarding the size of the intra-chain nearest...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aac094 |
| _version_ | 1797750705468997632 |
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| author | G J Shu J C Tian C K Lin M Hayashi S C Liou W T Chen Deniz P Wong H L Liou F C Chou |
| author_facet | G J Shu J C Tian C K Lin M Hayashi S C Liou W T Chen Deniz P Wong H L Liou F C Chou |
| author_sort | G J Shu |
| collection | DOAJ |
| description | In this reply to the comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO _2 chains of ${{\rm{Li}}}_{2}{{\rm{CuO}}}_{2-\delta }$ ’ (2017 New Journal of Physics 19 023206), we have clarified several key questions and conflicting results regarding the size of the intra-chain nearest neighbor coupling J _1 and the sign of the Weiss temperature Θ defined in the Curie–Weiss law of χ (T) = χ _◦ + C/(T − Θ). Additional data analysis is conducted to verify the validity of the Curie–Weiss law fitting protocol, including the negative sign and size of Θ based on the high-temperature linear temperature dependence of 1/ χ (T) for T > J _1 and $\tfrac{g{\mu }_{B}{SH}}{{k}_{B}T}\ll 1$ . The consistency between the magnetic antiferromagnetic (AF) ground state below T _N and the negative sign of Θ in the high-temperature paramagnetic (PM) state is explained via the reduction of thermal fluctuation for a temperature-independent local field due to magnetic interaction of quantum nature. A magnetic dipole–dipole (MDD)-type interaction among FM chains is identified and proposed to be necessary for the 3D AF magnetic ground state formation, i.e., the Heisenberg model of an exchange-type interaction alone is not sufficient to fully describe the quasi-1D spin chain system of ${{\rm{Li}}}_{2}{{\rm{CuO}}}_{2}$ . Several typical quasi-1D spin chain compounds, including ${{\rm{Li}}}_{2}{{\rm{CuO}}}_{2},{{\rm{CuAs}}}_{2}{{\rm{O}}}_{4},{{\rm{Sr}}}_{3}{{\rm{Fe}}}_{2}{{\rm{O}}}_{5}$ , and CuGeO _3 , are compared to show why different magnetic ground states are achieved from the chemical bond perspective. |
| first_indexed | 2024-03-12T16:37:46Z |
| format | Article |
| id | doaj.art-b4cff31db3ce45299f32affad67c3360 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:37:46Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-b4cff31db3ce45299f32affad67c33602023-08-08T14:50:06ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120505800210.1088/1367-2630/aac094Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’G J Shu0J C Tian1C K Lin2M Hayashi3S C Liou4W T Chen5Deniz P Wong6H L Liou7https://orcid.org/0000-0003-1960-2776F C Chou8https://orcid.org/0000-0002-9255-7986Center for Condensed Matter Sciences, National Taiwan University , Taipei 10617, TaiwanCenter for Condensed Matter Sciences, National Taiwan University , Taipei 10617, Taiwan; Department of Physics, National Taiwan Normal University , Taipei 11677, TaiwanCenter for Condensed Matter Sciences, National Taiwan University , Taipei 10617, TaiwanCenter for Condensed Matter Sciences, National Taiwan University , Taipei 10617, TaiwanAdvanced Imaging and Microscopy (AIM) Lab, Nano Center, University of Maryland , College Park, MD 20742, United States of AmericaCenter for Condensed Matter Sciences, National Taiwan University , Taipei 10617, TaiwanInstitute of Atomic and Molecular Sciences , Academia Sinica, Taipei 10617, TaiwanDepartment of Physics, National Taiwan Normal University , Taipei 11677, TaiwanCenter for Condensed Matter Sciences, National Taiwan University , Taipei 10617, Taiwan; National Synchrotron Radiation Research Center , Hsinchu 30076, Taiwan; Taiwan Consortium of Emergent Crystalline Materials, Ministry of Science and Technology, Taipei 10622, TaiwanIn this reply to the comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO _2 chains of ${{\rm{Li}}}_{2}{{\rm{CuO}}}_{2-\delta }$ ’ (2017 New Journal of Physics 19 023206), we have clarified several key questions and conflicting results regarding the size of the intra-chain nearest neighbor coupling J _1 and the sign of the Weiss temperature Θ defined in the Curie–Weiss law of χ (T) = χ _◦ + C/(T − Θ). Additional data analysis is conducted to verify the validity of the Curie–Weiss law fitting protocol, including the negative sign and size of Θ based on the high-temperature linear temperature dependence of 1/ χ (T) for T > J _1 and $\tfrac{g{\mu }_{B}{SH}}{{k}_{B}T}\ll 1$ . The consistency between the magnetic antiferromagnetic (AF) ground state below T _N and the negative sign of Θ in the high-temperature paramagnetic (PM) state is explained via the reduction of thermal fluctuation for a temperature-independent local field due to magnetic interaction of quantum nature. A magnetic dipole–dipole (MDD)-type interaction among FM chains is identified and proposed to be necessary for the 3D AF magnetic ground state formation, i.e., the Heisenberg model of an exchange-type interaction alone is not sufficient to fully describe the quasi-1D spin chain system of ${{\rm{Li}}}_{2}{{\rm{CuO}}}_{2}$ . Several typical quasi-1D spin chain compounds, including ${{\rm{Li}}}_{2}{{\rm{CuO}}}_{2},{{\rm{CuAs}}}_{2}{{\rm{O}}}_{4},{{\rm{Sr}}}_{3}{{\rm{Fe}}}_{2}{{\rm{O}}}_{5}$ , and CuGeO _3 , are compared to show why different magnetic ground states are achieved from the chemical bond perspective.https://doi.org/10.1088/1367-2630/aac094spin chainmagnetic susceptibilityCurie–Weiss lawexchange couplingHeisenberg modeloxygen vacancy |
| spellingShingle | G J Shu J C Tian C K Lin M Hayashi S C Liou W T Chen Deniz P Wong H L Liou F C Chou Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’ New Journal of Physics spin chain magnetic susceptibility Curie–Weiss law exchange coupling Heisenberg model oxygen vacancy |
| title | Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’ |
| title_full | Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’ |
| title_fullStr | Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’ |
| title_full_unstemmed | Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’ |
| title_short | Reply to Comment on ‘Oxygen vacancy-induced magnetic moment in edge-sharing CuO2 chains of Li2CuO2-δ’ |
| title_sort | reply to comment on oxygen vacancy induced magnetic moment in edge sharing cuo2 chains of li2cuo2 δ |
| topic | spin chain magnetic susceptibility Curie–Weiss law exchange coupling Heisenberg model oxygen vacancy |
| url | https://doi.org/10.1088/1367-2630/aac094 |
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